Multiple choice

Madhu and Deepti are partners in a business. Madhu invested 70% of the capital for 18 months and Deepti get 40% of the profit. Find for how many months had Deepti invested in the business?

  1. 25

  2. 28

  3. 6

  4. 24

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let total capital = C. Madhu invested 70% (0.7C) for 18 months. Deepti invested 30% (0.3C) for n months. Investment ratio: Madhu:Deepti = (0.7C×18):(0.3C×n) = 12.6:0.3n = 42:n. Since Deepti gets 40% profit and Madhu gets 60%, their profit ratio is 40:60 = 2:3. Therefore, 42/n = 3/2 (inverse ratio). Solving: n = 42×2/3 = 28 months. Option B is correct.

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